We are proving that two triangles are congruent by an ASA (angle-side-angle).
In the process of proof we already have two congruent angle pairs and the missing bit is the included side.
In order to complete the proof we need to show that AE and CF are congruent segments.
We can show this as:
Statement Reason
- AE ≅ CF Segment addition property, two segments consisting of congruent part are congruent A.F + FE = CE + FE